2) sin^2 3x = 1 –
cos^2 6x
sin^2 6x – sin^2
3x = 0
4sin^2 3x * cos^2
3x – sin^2 3x = 0
sin^2 3x*(4cos^2
3x - 1) = 0
<span>sin^2 3x =
0 cos^2 3x =1/4</span>
По формулам понижения степени:
<span>(1 - cos 6x)/2
= 0 (1 + cos 6x)/2 = ¼</span>
<span>co6x = 1 cos6x = - ½</span>
<span>x = pi/3 * n 6x = </span>±(2pi/3) +2pi n
<span> x
= </span>±<span>pi/4 + pi/3 *n</span>